30001320001123 has 8 divisors (see below), whose sum is σ = 30185585668800. Its totient is φ = 29817056876328.

The previous prime is 30001320001099. The next prime is 30001320001127. The reversal of 30001320001123 is 32110002310003.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-30001320001123 is a prime.

It is a super-4 number, since 4×30001320001123⁴ (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 30001320001097 and 30001320001106.

It is not an unprimeable number, because it can be changed into a prime (30001320001127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26606568 + ... + 27711226.

It is an arithmetic number, because the mean of its divisors is an integer number (3773198208600).

Almost surely, 2^{30001320001123} is an apocalyptic number.

30001320001123 is a deficient number, since it is larger than the sum of its proper divisors (184265667677).

30001320001123 is a wasteful number, since it uses less digits than its factorization.

30001320001123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271441.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 30001320001123 its reverse (32110002310003), we get a palindrome (62111322311126).

The spelling of 30001320001123 in words is "thirty trillion, one billion, three hundred twenty million, one thousand, one hundred twenty-three".